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Quantum Mechanics and Quantum Field Theory
A Mathematical Primer

$85.99 (P)

  • Date Published: March 2011
  • availability: Available
  • format: Hardback
  • isbn: 9781107005099

$ 85.99 (P)
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  • Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding.

    • Presents quantum physics in a mathematically precise language to give greater clarity of concepts and methods
    • Focuses only on topics central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory
    • Prepares graduate students in mathematics for further studies in the subject
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    Product details

    • Date Published: March 2011
    • format: Hardback
    • isbn: 9781107005099
    • length: 238 pages
    • dimensions: 253 x 194 x 13 mm
    • weight: 0.69kg
    • contains: 101 exercises
    • availability: Available
  • Table of Contents

    Introduction
    Part I. Non-relativistic:
    1. Mathematical prelude
    2. Classical mechanics
    3. Quantum mechanics
    4. Single particle
    5. Many particles
    6. Statistical mechanics
    Part II. Relativistic:
    7. Relativity
    8. Scalar particles and fields
    9. Electrons and photons
    10. Field theory on a manifold
    Part III. Probabilistic Methods:
    11. Path integrals
    12. Fields as random variables
    13. A nonlinear field theory
    Appendices
    References
    Index.

  • Author

    Jonathan Dimock, State University of New York, Buffalo
    Jonathan Dimock is Professor of Mathematics, SUNY, Buffalo. He has carried out research in various areas of mathematical physics, including constructive quantum field theory, quantum field theory on manifolds, renormalization group methods and string theory.

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